Cauchy-Kowalewski theorems in Clifford analysis : a survey
Brackx, F., Delanghe, R., Sommen, F.
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Displaying similar documents to “Generalized holomorphic functions and Clifford analysis.”
Cauchy-Kowalewski theorems in Clifford analysis : a survey
Holomorphic solutions of an inhomogeneous Cauchy equation.
Luigi Paganoni, S. Paganoni Martegalli (1989)
Aequationes mathematicae
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On holomorphic extension of functions on singular real hypersurfaces in .
Neelon, Tejinder S. (2001)
International Journal of Mathematics and Mathematical Sciences
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Pairs of paths and critical points.
Caragiu, Florin, Caragiu, Ioana (2001)
International Journal of Mathematics and Mathematical Sciences
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Extending holomorphic maps in infinite dimensions
Bui Dac Tac (1991)
Annales Polonici Mathematici
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Studying the sequential completeness of the space of germs of Banach-valued holomorphic functions at a points of a metric vector space some theorems on extension of holomorphic maps on Riemann domains over topological vector spaces with values in some locally convex analytic spaces are proved. Moreover, the extendability of holomorphic maps with values in complete C-spaces to the envelope of holomorphy for the class of bounded holomorphic functions is also established. These results...
An abstract non-linear Cauchy-Kowalewski theorem and its proof by a contraction-mapping principle
W. Tutschke (1986)
Matematički Vesnik
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Liouville's theorem for first-order partial differential operators
L. R. Hunt, J. J. Murray, M. J. Strauss (1979)
Colloquium Mathematicae
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Extension of separately holomorphic functions-a survey 1899-2001
Peter Pflug (2003)
Annales Polonici Mathematici
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This note is an attempt to describe a part of the historical development of the research on separately holomorphic functions.
A generalization of the Malgrange-Zerner theorem
Ludwik M. Drużkowski (1980)
Annales Polonici Mathematici
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On some properties of a differential operator on the polydisk.
Shamoyan, Romi, Li, Songxiao (2008)
Banach Journal of Mathematical Analysis [electronic only]
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Real and complex fundamental solutions. A way for unifying mathematical analysis.
Tutschke, Wolfgang (2002)
Boletín de la Asociación Matemática Venezolana
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Regular and limit sets for holomorphic correspondences
S. Bullett, C. Penrose (2001)
Fundamenta Mathematicae
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Holomorphic correspondences are multivalued maps between Riemann surfaces Z and W, where Q̃₋ and Q̃₊ are (single-valued) holomorphic maps from another Riemann surface X onto Z and W respectively. When Z = W one can iterate f forwards, backwards or globally (allowing arbitrarily many changes of direction from forwards to backwards and vice versa). Iterated holomorphic correspondences on the Riemann sphere display many of the features of the dynamics of Kleinian groups and rational maps,...
The image of a finely holomorphic map is pluripolar
Armen Edigarian, Said El Marzguioui, Jan Wiegerinck (2010)
Annales Polonici Mathematici
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We prove that the image of a finely holomorphic map on a fine domain in ℂ is a pluripolar subset of ℂⁿ. We also discuss the relationship between pluripolar hulls and finely holomorphic functions.